Least Common Multiple of 2975 and 2980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2975 and 2980 the smallest integer that is 1773100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2975 and 2980 is 1773100.

LCM(2975,2980) = 1773100

LCM of 2975 and 2980

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2975 and 2980

LCM of 2975 and 2980 is 1773100

Least common multiple can be found by multiplying the highest exponent prime factors of 2975 and 2980. First we will calculate the prime factors of 2975 and 2980.

Prime Factorization of 2975


5 2975
5 595
7 119
17 17
1

Prime factors of 2975 are 5, 7,17. Prime factorization of 2975 in exponential form is:

2975 = 52×71×171

Prime Factorization of 2980


2 2980
2 1490
5 745
149 149
1

Prime factors of 2980 are 2, 5,149. Prime factorization of 2980 in exponential form is:

2980 = 22×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2975 and 2980.

LCM(2975,2980) = 22×52×71×171×1491
LCM(2975,2980) = 1773100

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980

Least Common Multiple of 2975 and 2980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2975 and 2980, than apply into the LCM equation.

GCF(2975,2980) = 5
LCM(2975,2980) = ( 2975 × 2980) / 5
LCM(2975,2980) = 8865500 / 5
LCM(2975,2980) = 1773100

Properties of LCM 2975 and 2980

(i) The LCM of 2980 and 2975 is associative

LCM of 2975 and 2980 = LCM of 2980 and 2975

Related Least Common Multiples of 2975

Related Least Common Multiples of 2980

Frequently Asked Questions on LCM of 2975 and 2980

1. What is the LCM of 2975 and 2980?

Answer: LCM of 2975 and 2980 is 1773100.

2. What are the Factors of 2975?

Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.

3. What are the Factors of 2980?

Answer: Factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980. There are 12 integers that are factors of 2980. The greatest factor of 2980 is 2980.

4. How to Find the LCM of 2975 and 2980?

Answer:

Least Common Multiple of 2975 and 2980 = 1773100

Step 1: Find the prime factorization of 2975

2975 = 5 x 5 x 7 x 17

Step 2: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1773100 = 2 x 2 x 5 x 5 x 7 x 17 x 149

Step 4: Therefore, the least common multiple of 2975 and 2980 is 1773100.